ITK
6.0.0
Insight Toolkit
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#include <itkBackwardDifferenceOperator.h>
Operator whose inner product with a neighborhood returns a "half" derivative at the center of the neighborhood.
BackwardDifferenceOperator uses backward differences i.e. \( F(x) - F(x-1) \) to calculate a "half" derivative useful, among other things, in solving differential equations. It is a directional NeighborhoodOperator that should be applied to a Neighborhood using the inner product.
Definition at line 48 of file itkBackwardDifferenceOperator.h.
Protected Types | |
using | CoefficientVector = typename std::vector< PixelRealType > |
Protected Types inherited from itk::NeighborhoodOperator< TPixel, 2, NeighborhoodAllocator< TPixel > > | |
using | CoefficientVector = typename std::vector< PixelRealType > |
Protected Member Functions | |
CoefficientVector | GenerateCoefficients () override |
void | Fill (const CoefficientVector &coeff) override |
Protected Member Functions inherited from itk::NeighborhoodOperator< TPixel, 2, NeighborhoodAllocator< TPixel > > | |
virtual void | Fill (const CoefficientVector &)=0 |
virtual void | FillCenteredDirectional (const CoefficientVector &) |
virtual CoefficientVector | GenerateCoefficients ()=0 |
void | InitializeToZero () |
Protected Member Functions inherited from itk::Neighborhood< TPixel, VDimension, NeighborhoodAllocator< TPixel > > | |
virtual void | Allocate (NeighborIndexType i) |
virtual void | ComputeNeighborhoodOffsetTable () |
virtual void | ComputeNeighborhoodStrideTable () |
virtual void | PrintSelf (std::ostream &, Indent) const |
void | SetSize () |
Additional Inherited Members | |
Static Public Attributes inherited from itk::Neighborhood< TPixel, VDimension, NeighborhoodAllocator< TPixel > > | |
static constexpr unsigned int | NeighborhoodDimension |
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protected |
Type alias support for coefficient vector type. Necessary to fix bug in the microsoft VC++ compiler.
Definition at line 153 of file itkNeighborhoodOperator.h.
using itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::PixelType = TPixel |
Type alias support for pixel type.
Definition at line 60 of file itkBackwardDifferenceOperator.h.
using itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::Self = BackwardDifferenceOperator |
Standard class type aliases.
Definition at line 53 of file itkBackwardDifferenceOperator.h.
using itk::BackwardDifferenceOperator< TPixel, TDimension, TAllocator >::Superclass = NeighborhoodOperator<TPixel, TDimension, TAllocator> |
Definition at line 54 of file itkBackwardDifferenceOperator.h.
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inlineoverrideprotectedvirtual |
Arranges coefficients spatially in the memory buffer.
Implements itk::NeighborhoodOperator< TPixel, 2, NeighborhoodAllocator< TPixel > >.
Definition at line 72 of file itkBackwardDifferenceOperator.h.
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overrideprotectedvirtual |
Calculates operator coefficients.
Implements itk::NeighborhoodOperator< TPixel, 2, NeighborhoodAllocator< TPixel > >.
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overridevirtual |
Reimplemented from itk::Neighborhood< TPixel, VDimension, NeighborhoodAllocator< TPixel > >.